Answer:
A
Step-by-step explanation:
The true statement is, the vertex is (1, -5) and the axis of symmetry is x = 1.
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
g(x) = 5x² - 10x
The function written in vertex form is,
g(x) = 5(x - 1)² - 5
Vertex form of a quadratic equation is,
y = a(x - h)² + k, where (h, k) is the vertex.
Here vertex = (h, k) = (1, -5)
Axis of symmetry = -b/2a = -(-10)/10 = 1
Axis of symmetry is, x = 1
Hence the correct option is A.
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Help Please!! I will give brainliest!
Answer:
15 mm per case is the answer. The full answer is 195 mm.
Step-by-step explanation:
hope this helps:)
PLEASE HELP ASAP!!
14 POINTS
a. 6 1/6
b. 6 1/3
c. 6 2/3
d. 6 3/2
Casey is going to start selling ice cream cones at the county fait. He has to rent the equipment for $26 and spend $0.43 on ingredients for each one. How many ice cream cones must he sell at $1.20 each in order to make a profit?
Answer:
34 ice cream cones
Step-by-step explanation:
1.20 - .43 = .77
26 - .77 n > 0
n > 33.77
the following chart shows the number of rows in an auditorium and the total number number of seats. what equation defines the number of seats with respect to the number of rows?
a. s=20r+100
b. s=40r+120
c. s=20r+60
d. s=20r
Answer:
The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.
The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.
Given that;
The chart shows the number of rows in an auditorium and the total number of seats.
Since, The equation is satisfy the given numbers in chart.
So, Let an equation for chart;
s = 20r + 60
Where, s is number of seats and r is number of rows.
Now, Substitute the value of r = 20 for the number of first rows in above equation we get;
s = 20 × 20 + 60
s = 400 + 60
s = 460
And, For second row, r = 45
s = 20 × 45 + 60
s = 900 + 60
s = 960
Thus, The correct equation for the number of seats with respect to the number of rows will be;
s = 20r + 60
Where, s is number of seats and r is number of rows.
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i added a picture : Determine which of the lines, if any, are parallel or perpendicular. Explain.
write an equation of the line that passes through the given point and is perpendicular to the given line.
Answer:
1. line a and c and parallel. line b is perpendicular with line a and c. 2. line b and c and parallel. line a is perpendicular to lines b and c. 3. y= -3x + 3 4. y=(5/3)x - 9
Step-by-step explanation:
To find parallel and perpendicular, make the slope opposite and find b by plugging in the points. Parallel is the same slope.
5/8 x w = 9
So basically 5/8 x what equals 9
Answer:
not sure
Step-by-step explanation:
A math test has two parts. Both parts have the same number of questions. Rachael answered 2/3 of the questions correctly in the first part of the test, but she only answered 1/2 of the questions correctly in the second part of the test. Overall, she answered 21 questions correctly. What is the total number of questions on the test?
Answer:
Step-by-step explanation:
21=1/2 so if thats 21 the answer would be 2/3=34
Please Find 23% of 40
Answer:
9.2
Step-by-step explanation:
THE POWER OF MULTIPLICATION
What is standard form of a line?
a. y = mx + b
b. Ax + By = C
c. y - y1 = m(x - x1)
d. y = Ax + By
Please helppppp?????!!!!!
|x-8|<13
What is the solution
Answer:
x = (-5, 21)Step-by-step explanation:
|x - 8| < 131 .
x - 8 < 13x < 8 + 13x < 212.
x - 8 > -13x > 8 - 13x > -5Combined answer
-5 < x < 21x = (-5, 21)Please help fast!!!
Answer:
C.
Step-by-step explanation:
(I MAY BE WRONG) srry if I was
what is the measure of each exterior angle of octagon
Answer:
required answer:-We know that in a octagon
numbers of sides=5
Let
value of each exterior angles =x
The sum of exterior angles=360°
ATQ[tex]{:}\leadsto [/tex][tex]\sf 5x=360 [/tex]
[tex]{:}\leadsto [/tex][tex]\sf x={\dfrac {360}{5}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf x=72°[/tex]
[tex]\therefore[/tex]Measure of each exterior angle of a octagon is 72°.
Plz help me solve this inequality! I’m timed!
Answer:
y > 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
3(y - 2) + 4(3 - 2y) < 6(3y - 1) - 11y
Step 2: Solve for y
Distribute: 3y - 6 + 12 - 8y < 18y - 6 - 11yCombine like terms: -5y + 6 < 7y - 6Add 5y to both sides: 6 < 12y - 6Add 6 to both sides: 12 < 12yIsolate y: 1 < yRewrite: y > 1Here we see that any number y greater than 1 would work as a solution.
URGENT HELP ME OUT PLEASE 20 points
What are the solutions to the quadratic equation?
Plz help I made it extra points...
Answer:
a is a linear equation
Step-by-step explanation:
A line passes through the points (-3, 14) and (-1, 16). What is its equation in slope-intercept form?
Answer:
y = 6x + 22
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Point (-3, 14)
Point (-1, 16)
Step 2: Find slope m
Substitute: [tex]m=\frac{16-14}{-1+3}[/tex]Subtract/Add: [tex]m=\frac{12}{2}[/tex]Divide: [tex]m=6[/tex]Step 3: Find y-intercept b
Define: y = 6x + bSubstitute: 16 = 6(-1) + bMultiply: 16 = -6 + bIsolate b: 22 = bRewrite: b = 22Step 4: Write linear equation
y = 6x + 22
if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)
Hello!
[tex]\large\boxed{f(x) = 3x - 28}[/tex]
If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):
f(x) = (3x - 18) - 10
Simplify:
f(x) = 3x - 28
Find the length of side x in simplest radical form with a rational denominator.
Answer:
Step-by-step explanation:
given that both angles are the same, it is an equilateral right triangle.
we can use Pythagorean's theorem
[tex]a^2 + b^2 = c^2\\(\sqrt{6})^2+(\sqrt{6})^2= c^2\\ 12 = c^2 \\c = \sqrt{12} = \sqrt{4*3} = 2\sqrt{3}[/tex]
Time = 2hour +12 mins per lightswitch
She charges her customers a call out fee of £35, plus £30 per hour.
How much should a customer be charged for wiring a house with 10 lightswitch?
Answer:
£395
Step-by-step explanation:
call out fee = 35
30 per hour = 2 hour to be = 60
but, 12 minutes in hour = 12/60 = 0.2
0.2 = 0.2*30 = 6
2 hours and 12 minutes would be charges as
30 + 6 = 36
36*10 = 360
call out fee + per hour = 35 + 360 = 395
use some or all numbers 16,17, and 23 and/or 24 to make sum 100. You may use a number more than once.
PLS HELP
Ok, I finally fuigred it out its 17+17+17+17+16+16 because 17*4 is = to 68 and 16*2 is = to 32, 68+32 equals to 100!
The quotient of a number and -7 is 8. What is the number?
The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx
What is the noise that NASA published so called naming it the "sound of hell"
Answer:
Some spacecraft have instruments capable of capturing radio emissions. When scientists convert these to sound waves, the results are eerie sounds
Step-by-step explanation:
RIP KING VON
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9x10^7 is how many times as large as 3x10^-2
Answer:
3000000000 or 3x10^9 times bigger
Step-by-step explanation:
Power in mathematics is defined as the number you get when you get when you raise a number to an exponent
[tex]9 * 10^{7}[/tex] is 3000000000 or [tex]3 * 10^{9}[/tex] times as large as [tex]3 * 10^{-2}[/tex]
To calculate how many times [tex]9 * 10^{7}[/tex] is larger than [tex]3 * 10^{-2}[/tex] we would be dividing [tex]9 * 10^{7}[/tex] by [tex]3 * 10^{-2}[/tex] .This is expressed mathematically as:
[tex]\frac{9*10^{7} }{3*10^{-2}}[/tex]
= 3,000,000,000
or we express it as a power : [tex]3 * 10^{9}[/tex]
Therefore, is 3000000000 or times as large as
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enter the value of b when the expression 10x+b is equivalent to 2(5x-2)
Answer:
B =4
Step-by-step explanati
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.
Answer:
15 small boxes and 5 big boxes
Step-by-step explanation:
5 x 3 = 15
15 x 35 = 525
5 x 65 = 325
525 + 325 = 850
Geometry Please Help.
Find the specific measure below.
Answer:
55 degrees
Step-by-step explanation:
one triangle has 180 degrees
deg=35 degrees so subtract 35 from 180=145 dgrees.
the square at the bottom center means a 90 degree angle, so subtract 90 from 145=55
slope-intercept form of Slope = -9/5, y-intercept = -4
Answer:
y = - [tex]\frac{9}{5}[/tex] x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{9}{5}[/tex] and c = - 4 , thus
y = - [tex]\frac{9}{5}[/tex] x - 4 ← equation of line
What is m∠A?
m∠A =
A. 66
B. 57
C. 113
Answer:
m∠A =
A. 66°
Step-by-step explanation:
∠C = ∠B
57 + 57 = 114
∠A = 180 - 114 = 66
Find the slope of the line shown on the graph to the right. The slope of the line is (Type an integer or a simplified fraction) -10 -86 -4 -2.
I know Im stupid, I just need help with this..
Answer:
Sup
Step-by-step explanation:
Answer: the slope is one
Step-by-step explanation:
Sorry for the late answer but you better reply ;w;
To my recent question
Please..? I was busy tbh